Sur un critère de Baez-Duarte pour l'hypothèse de Riemann

Mathematics – Number Theory

Scientific paper

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A para\^itre dans International Journal of Number Theory

Scientific paper

Baez-Duarte reformulated the Riemann hypothesis as a statement about a
Hilbert space distance, involving the integer dilations of the "fractional
part" function. Under the assumption of the Riemann hypothesis, we improve on
the currently known estimate for this distance.

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